8 papers
Elasto-inertial transitions in viscoelastic flows through cylinder arrays
Jack R. C. King, Henry M. Broadley, Miguel Beneitez
For dilute solutions of polymers, chaotic flow states can occur at lower Reynolds numbers than required for inertial turbulence in Newtonian fluids, offering the potential for incr…
Learning Mesh-Free Discrete Differential Operators with Self-Supervised Graph Neural Networks
Lucas Gerken Starepravo, Georgios Fourtakas, Steven Lind +3
Mesh-free numerical methods provide flexible discretisations for complex geometries; however, classical meshless discrete differential operators typically trade low computational c…
Compact LABFM: a framework for meshless methods with spectral-like resolving power
Henry M. Broadley, Steven J. Lind, Jack R. C. King
Meshless methods are often used in numerical simulations of systems of partial differential equations (PDEs), particularly those which involve complex geometries or free surfaces.…
A p-adaptive high-order mesh-free framework for fluid simulations in complex geometries
Ruofeng Feng, Jack R. C. King, Steven J. Lind
This paper presents a novel p-adaptive, high-order mesh-free framework for the accurate and efficient simulation of fluid flows in complex geometries. High-order differential opera…
Improving the accuracy of meshless methods via resolving power optimisation using multiple kernels
H. Broadley, J. R. C. King, S. J. Lind
Meshless methods are commonly used to determine numerical solutions to partial differential equations (PDEs) for problems involving free surfaces and/or complex geometries, approxi…
Uncertainty in Elastic Turbulence
Jack R. C. King, Robert J. Poole, Cláudio P. Fonte +1
Elastic turbulence can lead to to increased flow resistance, mixing and heat transfer. Its control -- either suppression or promotion -- has significant potential, and there is a c…